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Dr. Tobias Gerlach

wiss. Mitarbeiter

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Dr. Tobias Gerlach


Lehrveranstaltungen im Wintersemester 2019/2020


für Informatiker

VorlesungMontag, 11:00 - 12:30 Uhr, C-Hs


Mathematik 3

für EIT 3. FS, EIT DP 3. FS, WSW 3. FS

Übung Dienstag, 09:00 - 10:30 Uhr, K 2077 


Mathematik 3

für FZT 3. FS 1, FZT 3. FS 2

Übung Dienstag, 13:00 - 14:30 Uhr, K 2002A



für Informatiker

Übung Mittwoch, 07:00 - 08:30 Uhr, C-Hs oder C 115


Mathematik 1

für WIW

Übung Mittwoch, 11:00 - 12:30 Uhr, K 2032




R. Reinhardt, A. Hoffmann, T. Gerlach
Nichtlineare Optimierung - Theorie, Numerik und Experimente,
Springer Spektrum, 2012





  • On classes of set optimization problems which are reducible to vector optimization problems and its impact on numerical test instances (with Gabriele Eichfelder), Chapter 10 in "Variational Analysis and Set Optimization", Khan, A., Köbis, E., Tammer Chr. (Eds.), CRC Press (Taylor & Francis Group), p. 265-290, 2019. See also [pdf],   OptimizationOnline
  • Characterization of properly optimal elements with variable ordering structures
    (with Gabriele Eichfelder)

    Optimization, Vol. 65(3) 571 - 588
    , 2016.

  • A modification of the alphaBB method for box-constrained optimization and an application to inverse kinematics
    (with Gabriele Eichfelder and Susanne Sumi)
    EURO Journal on Computational Optimization, Doi 10.1007/s13675-015-0056-5, 2015. [pdf]

  • Efficient Communication for Large-scale Robust Image Processing with Smart Camera Devices
    (with Golembewski, Rene and Schäfer, Günter)
    IEEE Symposium on Computational  Intelligence for Security and Defense Applications (CISDA 2012), Ottawa, Canada

  • Optimization-based secure multi-hop localization in wireless ad hoc networks
    (with Wozniak, Sander and Schäfer, Günter)
    In: 17th GI/ITG Conference on Communication in Distributed Systems (KiVS 2011) / Conference on Communication in Distributed Systems; 17 (Kiel): 2011.03.08.-11. - Wadern: Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2011), S. 182 - 187

  • Ordered and linked chordal graphs
    (mit T. Böhme und M. Stiebitz)
    Discussiones Mathematicae Graph Theory, 28 (2008), 367 - 373.

  • On a cycle through a specified linear forest of a graph
    (mit J. Harant)
    Discrete Mathematics, 307 (2007), 892 - 895.

  • On cycles through specified vertices 
    (mit F. Göring, J. Harant und M. Tkac)
    Discrete Mathematics, 306 (2006), 831 - 835.

  • Toughness and Hamiltonicity of a class of planar graphs
    Discrete Mathematics, 286 (2004), 61 - 65.

  • On cycles through a set of specified vertices
    (mit J. Harant), 
    Studies of the University of Zilina (Slovakia), 16 (2003), 35 - 46.

  • A note on domination in bipartite graphs
    (mit J. Harant), 
    Discussiones Mathematicae Graph Theory, 22 (
    2002), 229 - 231





Optimality Conditions for Set Optimization using a Directional Derivative based on Generalized Steiner Sets (with Robert Baier, Gabriele Eichfelder), 40p., 2019, Preprint-Series of the Institute for Mathematics, Technische Universität Ilmenau, Germany, submitted 11/2019 [dbt]. See also OptimizationOnline.

A modification of the alphaBB method for box-constrained optimization and an application to inverse kinematics (with Gabriele Eichfelder and Susanne Sumi) Preprint-Series of the Institute of Mathematics, Ilmenau University of Technology, Germany, 2015


Nichtlineare Optimierung mit Schwerpunkten
(Nonlineare optimization with a special focus on)

  • Mengenwertige Optimierung (Set-valued optimization)
  • Multikriteriellen Optimierung (Multiobjective Optimization)
  • Globale Optimierung (Global optimization)